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Most Important Selected Qs for JEE AdvancedMathematicsThree Dimensional Geometry

The vector equation of a curve in R^3 denoted by r = (t^2+t-2 ) i +(t+2) j +(t+3)^2 k denotes

Options

  1. Aa plane passing through the origin
  2. Ba plane passing through (0,0,1)
  3. Ca line parallel to the vector i +5 j - k
  4. Da pair of lines intersecting at (0,0,1)

Correct answer

B. a plane passing through (0,0,1)

Step-by-step solution

Let r =x i +y j +z k Comparing x = t ^2+ t -2 y = t +2 z = t ^2+6 t +9 Hence z-x=5 t+11 z-x=5(y-2)+11 x+5 y-z+1=0

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